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Simplifying 11c + -16 = 15 + 5(3c + 1) Reorder the terms: -16 + 11c = 15 + 5(3c + 1) Reorder the terms: -16 + 11c = 15 + 5(1 + 3c) -16 + 11c = 15 + (1 * 5 + 3c * 5) -16 + 11c = 15 + (5 + 15c) Combine like terms: 15 + 5 = 20 -16 + 11c = 20 + 15c Solving -16 + 11c = 20 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. -16 + 11c + -15c = 20 + 15c + -15c Combine like terms: 11c + -15c = -4c -16 + -4c = 20 + 15c + -15c Combine like terms: 15c + -15c = 0 -16 + -4c = 20 + 0 -16 + -4c = 20 Add '16' to each side of the equation. -16 + 16 + -4c = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -4c = 20 + 16 -4c = 20 + 16 Combine like terms: 20 + 16 = 36 -4c = 36 Divide each side by '-4'. c = -9 Simplifying c = -9
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